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3 Times Multiplication Table

The 3 Times Table is a table that multiplies the number 3 by all other numbers. Repeated addition can be used to figure out the 3 times table. The 3 times multiplication table helps comprehend multiples patterns. Long division and multiplication both require the ability to know the three times table. Problem-solving becomes quicker, and computations are easier to perform mentally.

3 Times Table
3 × 1 = 3
3 × 2 = 6
3 × 3 = 9
3 × 4 = 12
3 × 5 = 15
3 × 6 = 18
3 × 7 = 21
3 × 8 = 24
3 × 9 = 27
3 × 10 = 30
3 × 11 = 33
3 × 12 = 36

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Age group when 3 times multiplication table are typically taught

Multiplication tables are taught to learners aged 6 to 8 years old or 2nd or 3rd grades (USA).

Learning the table of three aids the children in developing a more thorough understanding of multiplication, which is beneficial over time. For young children, practicing times tables is a crucial brain-training practice. The three times table must be committed to memory by students to perform quick computations.

Children are required to know and can recite the three times table by the time they enter early primary school. Having kids memorize the table of three is the most straightforward approach to teaching them. Learning the three times table for young children can be a little challenging. However, a few patterns and tips will make learning the table of three simple for children.

3 Times Multiplication Table in Words

The following is how we read the 3 times multiplication  table:

Tips to Master 3 Times Multiplication Table

Simple tables, such as the table of three, are easy to remember and recite. Let us explore how to master the table of three.

( a ) You keep adding 3 when you multiply by three.

Let us use the example of the number 3 being multiplied by 4 (3 x 4); the number 3 is added four times.

As a result, for additional examples of the three times table,

3 × 2 = 3 + 3  = 6

3 × 3 = 3 + 3 + 3 = 9

3 × 4 = 3 + 3 + 3 + 3 = 12

3 × 5 = 3 + 3 + 3 + 3 + 3 = 15

3 × 6 = 3 + 3 + 3 + 3 + 3 + 3 = 18

3 × 7 = 3 + 3 + 3 + 3 + 3 + 3 +3 = 21

3 × 8 = 3 + 3 + 3 + 3 + 3 + 3 +3 + 3 = 24

3 × 9 = 3 + 3 + 3 + 3 + 3 + 3 +3 + 3 + 3 = 27

3 × 10 = 3 + 3 + 3 + 3 + 3 + 3 +3 + 3 + 3 + 3 = 30

3 × 11 = 3 + 3 + 3 + 3 + 3 + 3 +3 + 3 + 3 + 3 + 3 = 33

3 × 12 = 3 + 3 + 3 + 3 + 3 + 3 +3 + 3 + 3 + 3 + 3 + 3 = 36

( b ) There is a pattern for every ten multiples of three.

As seen in the chart below, we increase the tens digit by one each time we reach the sequence 3, 6, and 9.

Additionally, every time the tens digit increases by one, the digit in the units place decreases by one.

12, 15, and 18 have numbers that end in 2, 5, and 8, one less than 3, 6, and 9.

21, 24, and 27 have numbers that end in 1, 4, and 7, one less than 2, 5, and 8.

30, 33, and 36 have numbers that end in 0, 3, and 6, one less than 1, 4, and 7.

( c ) Commutative property applies to multiplication

Multiplication is also commutative, just like addition. According to the commutative property, no matter what placement or order the two numbers are multiplied, the result will always be the same. In other words, you can multiply two digits in any order, and the result will still be the same.

Let us say for example, 3 × 10 = 30 and 10 × 3 = 30. The result of the two numbers was not affected by the placements or the order of 3 and 10.

( d ) A number is a multiple of 3 if the total of its digits ends with 3, 6, or 9.

For example, the following numbers are multiples of three that show the sum of the digits

15 : 1 + 5 = 6

18 : 1 + 8 = 9

21 : 2 + 1 = 3

27 : 2 + 7 = 9

30 : 3 + 0 = 3

33 : 3 + 3 = 6

36 : 3 + 6 = 9

( e ) To multiply a given number by 3, multiply it by 2, then add the given number to the product.

Let us have the following examples,

In 3 × 3, we can have 3 × 2 = 6 and then add 3, which will give us 9.

In 3 × 4, we can have 4 × 2 = 8 and then add 4, giving us 12.

In 3 × 5, we can have 5 × 2 = 10 and then add 5, giving us 15.

In 3 × 6, we can have 6 × 2 = 12 and then add 6, which will give us 18.

In 3 × 7, we can have 7 × 2 = 14 and then add 7, which will give us 21.

In 3 × 8, we can have 8 × 2 = 16 and then add 8, giving us 24.

In 3 × 9, we can have 9 × 2 = 18 and then add 9, which will give us 27.

In 3 × 10, we can have 10 × 2 = 20 and then add 10, which will give us 30.